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垂直压裂水平井非稳态条件下的产能分析
廉培庆1,同鲞科2,程林松1,孙海2
(1.中国石油大学石油天然气工程学院,北京102249 ;2.中国石油大学数学与计算科学学院,山东东营257061)
摘要:
应用Green函数和Newman积原理,推导出垂直压裂水平井在非稳态条件下生产时的压降公式,建立压裂水平井 井筒与油藏耦合的新模型,并给出求解方法。实例计算结果表明:水平井的产量随时间是不断减小的,经过一定时间,流动达到拟稳态;井筒内存在一定的压力降;摩阻对压裂水平井生产动态有一定影响;水平井长度对产量有一定的影 响’而且水平井长度存在最优范围;各条裂缝产量不相等,裂缝条数存在最优范围。
关键词:  水平井  非稳态  产能  压降  裂缝
DOI:
分类号:
基金项目:S家“863”项目(2006AA06Z236);中石油创新基金项目(07E1020)
Analysis of productivity in unsteady state of vertical fractured horizontal well
LIAN Pei-qing1,TONG Deng-ke2,CHENG Lin-song1,SUN Hai2
(1.Faculty of Petroleum Engineering in China University of Petroleum, Beijing 102249,China ;2. College of Mathematics and Computational Science in China University of Petroleum,Dongying 257061, Chirm)
Abstract:
According to Green function and Newman's product principle, the pressure drop function of the vertical fractured horizontal well in unsteady state was concluded, and a new reservoir model coupled with wellbore was developed. In order to solve this problem, a new method was given. The computational results for a practical example show that the productivity decreases as the time increasing, and the flow reaches pseudo-steady state after a long time. There exists the pressure drop along the wellbore. The friction has certain effect on production performance of fractured horizontal well. The length of horizontal wellbore also has effect on output and has an optimum range. The flow rate of each fracture is not equal,and the number of fractures has an optimum range.
Key words:  horizontal well  unsteady state  productivity  pressure drop  fracture
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